Classification Theory for Abstract Elementary Classes (Studies in Logic: Mathematical Logic and Foundations) - Softcover

Shelah, Professor Department Of Mathematics Rutgers University Institute Of Mathematics Saharon

 
9781904987710: Classification Theory for Abstract Elementary Classes (Studies in Logic: Mathematical Logic and Foundations)
Softcover
ISBN 10: 1904987710 ISBN 13: 9781904987710
Publisher: College Publications, 2009

Synopsis

An abstract elementary class is a class of structures of the same vocabulary (like a class of rings, or a class of fields), with a partial order that generalizes the relation "A is a substructure (or an elementary substructure) of B". The requirements are that the class is closed under isomorphism, and that isomorphic structures have isomorphic (generalized) substructures; we also require that our classes share some of the most basic properties of elementary classes, like closure under unions of increasing chains of substructures. We would like to classify this general family; in the sense of proving dichotomies: either we can understand the structure of all models in our class or there are many to some extent. More specifically we would like to generalize the theory about categoricity and superstability to this context.

"synopsis" may belong to another edition of this title.

Publisher
College Publications
Publication date
2009
Language
English
ISBN 10 
1904987710
ISBN 13 
9781904987710
Binding
Paperback
Number of pages
824

Other Popular Editions of the Same Title

9781904987727: Classification Theory for Abstract Elementary Classes: Volume 2 (Studies in Logic: Mathematical Logic and Foundations)

Featured Edition

ISBN 10:  1904987729 ISBN 13:  9781904987727
Publisher: College Publications, 2009
Softcover